The capacity region of broadcast channels with intersymbol interference and colored Gaussian noise

Andrea J. Goldsmith, Michelle Effros

Research output: Contribution to journalArticlepeer-review

87 Scopus citations

Abstract

We derive the capacity region for a broadcast channel with intersymbol interference (ISI) and colored Gaussian noise under an input power constraint. The region is obtained by first defining a similar channel model, the circular broadcast channel, which can be decomposed into a set of parallel degraded broadcast channels. The capacity region for parallel degraded broadcast channels is known. We then show that the capacity region of the original broadcast channel equals that of the circular broadcast channel in the limit of infinite block length, and we obtain an explicit formula for the resulting capacity region. The coding strategy used to achieve each point on the convex hull of the capacity region uses superposition coding on some or all of the parallel channels and dedicated transmission on the others. The optimal power allocation for any point in the capacity region is obtained via a multilevel water-filling. We derive this optimal power allocation and the resulting capacity region for several broadcast channel models.

Original languageEnglish (US)
Pages (from-to)219-240
Number of pages22
JournalIEEE Transactions on Information Theory
Volume47
Issue number1
DOIs
StatePublished - Jan 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Keywords

  • Broadcast channels
  • Capacity region
  • Colored Gaussian noise
  • Intersymbol interference (ISI)

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